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Simplifying 32 + -8z = -6(4z + 9) Reorder the terms: 32 + -8z = -6(9 + 4z) 32 + -8z = (9 * -6 + 4z * -6) 32 + -8z = (-54 + -24z) Solving 32 + -8z = -54 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. 32 + -8z + 24z = -54 + -24z + 24z Combine like terms: -8z + 24z = 16z 32 + 16z = -54 + -24z + 24z Combine like terms: -24z + 24z = 0 32 + 16z = -54 + 0 32 + 16z = -54 Add '-32' to each side of the equation. 32 + -32 + 16z = -54 + -32 Combine like terms: 32 + -32 = 0 0 + 16z = -54 + -32 16z = -54 + -32 Combine like terms: -54 + -32 = -86 16z = -86 Divide each side by '16'. z = -5.375 Simplifying z = -5.375
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